A fixed point theorem for the pseudo-circle

DOI10.1016/j.topol.2011.01.023zbMath1217.55001OpenAlexW1968898021MaRDI QIDQ633025

Jan P. Boroński

Publication date: 31 March 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.01.023

zbMATH Keywords

fixed pointNielsen classpseudo-arcpseudo-circlecircle-like continuum

Mathematics Subject Classification ID

Continua and generalizations (54F15) Fixed-point and coincidence theorems (topological aspects) (54H25) Degree, winding number (55M25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (7)

Shub’s conjecture for smooth longitudinal maps of ⋮ Branched coverings of the sphere having a completely invariant continuum with infinitely many Wada lakes ⋮ On the conjecture of Wood and projective homogeneity ⋮ A Sternbach-type fixed point problem for maps induced on hyperspaces ⋮ Pseudo-solenoids are not continuously homogeneous ⋮ Periodic points for sphere maps preserving monopole foliations ⋮ A note on minimal sets of periods for cofrontier maps

Cites Work

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• Concerning hereditarily indecomposable continua
• Fixed Points of Orientation Reversing Homeomorphisms of the Plane
• A short proof of nonhomogeneity of the pseudo-circle
• Orbits of the Pseudocircle
• An Orientation Reversing Homeomorphism of the Plane with Invariant Pseudo- Arc
• Weakly Confluent, 2-to-1 Maps on Hereditarily Indecomposable Continua
• A Pathological Area Preserving C ∞ Diffeomorphism of the Plane
• The Pseudo-Circle is not homogeneous
• The Pseudo-Circle is not Homogeneous
• The Pseudo-Circle Is Unique
• Incidence Relations in Unicoherent Spaces
• A Fixed Point Theorem for Pseudo-Arcs and Certain Other Metric Continua

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